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Finding the Fourth Proportional to 23,204.01, 32,021.56 and 12,593.64

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Solution

The fourth proportional to 23,204.01, 32,021.56 and 12,593.64 is: 17,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.01 : 32,021.56 = 12,593.64 : x
  2. Step 2: Convert to fraction form
    23,204.01/32,021.56 = 12,593.64/x
  3. Step 3: Cross multiply
    23,204.01x = 32,021.56 × 12,593.64
  4. Step 4: Simplify right side
    23,204.01x = 403,267,935.91
  5. Step 5: Solve for x
    x = 403,267,935.91/23,204.01
  6. Step 6: Final answer
    x = 17,379.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.